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Finding the Fourth Proportional to 13,871.25, 19,142.33 and 8,911.89

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Solution

The fourth proportional to 13,871.25, 19,142.33 and 8,911.89 is: 12,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.25 : 19,142.33 = 8,911.89 : x
  2. Step 2: Convert to fraction form
    13,871.25/19,142.33 = 8,911.89/x
  3. Step 3: Cross multiply
    13,871.25x = 19,142.33 × 8,911.89
  4. Step 4: Simplify right side
    13,871.25x = 170,594,294.74
  5. Step 5: Solve for x
    x = 170,594,294.74/13,871.25
  6. Step 6: Final answer
    x = 12,298.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.